4 citations · 4 across the 7 of their papers we have counts for
9 papers
GKM actions on almost quaternionic manifolds
Oliver Goertsches, Eugenia Loiudice
We introduce quaternionic structures on abstract GKM graphs, as the combinatorial counterpart of almost quaternionic structures left invariant by a torus action of GKM type. In the…
GKM actions on cohomogeneity one manifolds
Oliver Goertsches, Eugenia Loiudice, Giovanni Russo
We consider compact manifolds with a cohomogeneity one action of a compact Lie group such that the orbit space is a closed interval. For a maximal torus of , w…
How to construct all metric --contact manifolds
Oliver Goertsches, Eugenia Loiudice
We show that any compact metric --contact, respectively -manifold is obtained from a compact -contact, respectively Sasakian manifold by an iteration of constructions o…
Metric -contact manifolds satisfying the -nullity condition
Alfonso Carriazo, Luis M. Fernández, Eugenia Loiudice
We prove that if the -sectional curvature at any point of a -dimensional - manifold with is independent of the -section at , then it is constan…
On the topology of metric --contact manifolds
Oliver Goertsches, Eugenia Loiudice
We observe that the class of metric --contact manifolds, which naturally contains that of -contact manifolds, is closed under forming mapping tori of automorphisms of the…
Canonical fibrations of contact metric -spaces
Eugenia Loiudice, Antonio Lotta
We present a classification of the complete, simply connected, contact metric -spaces as homogeneous contact metric manifolds, by studying the base space of their canonical…